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Finding the Fourth Proportional to 1,209.42, 1,813.90 and 469.03

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Solution

The fourth proportional to 1,209.42, 1,813.90 and 469.03 is: 703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.42 : 1,813.90 = 469.03 : x
  2. Step 2: Convert to fraction form
    1,209.42/1,813.90 = 469.03/x
  3. Step 3: Cross multiply
    1,209.42x = 1,813.90 × 469.03
  4. Step 4: Simplify right side
    1,209.42x = 850,763.53
  5. Step 5: Solve for x
    x = 850,763.53/1,209.42
  6. Step 6: Final answer
    x = 703.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.